Details

Time bar (total: 3.3s)

analyze523.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
1.0ms13×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.5b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
1.0b
(- (* b c) (* a d))
25.1b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
3.0ms
(+ (* c c) (* d d))
3.0ms
(- (* b c) (* a d))
12.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
10.0ms
(- (* b c) (* a d))
27.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292541
11273493
25001491

prune122.0ms

Filtered
50 candidates to 64 candidates (-28.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New531164
Fresh000
Picked101
Done000
Total541165

Merged error: 24.7b

Counts
65 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b c) (* a d))
15.5b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.3b
(sqrt (+ (* c c) (* d d)))
30.3b
(sqrt (+ (* c c) (* d d)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b c) (* a d))
34.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify104.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune138.0ms

Filtered
75 candidates to 98 candidates (-30.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New92698
Fresh3710
Picked101
Done000
Total9613109

Merged error: 21.8b

Counts
109 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b c) (* a d))
15.7b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
30.3b
(sqrt (+ (* c c) (* d d)))
30.3b
(sqrt (+ (* c c) (* d d)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity times-frac
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×sqrt-div add-log-exp
5×unswap-sqr
4×prod-exp
3×flip3-- flip3-+ associate-*l* flip-- flip-+
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
14.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b c) (* a d))
36.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0378916
11785831
25001807

prune136.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh01212
Picked011
Done000
Total10713120

Merged error: 21.8b

Counts
120 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b c) (* a d))
15.5b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.3b
(sqrt (+ (* c c) (* d d)))
30.3b
(sqrt (+ (* c c) (* d d)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b c) (* a d))
33.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify105.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune88.0ms

Filtered
75 candidates to 98 candidates (-30.7%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh01111
Picked011
Done011
Total9813111

Merged error: 21.8b

Counts
111 → 13

regimes530.0ms

Accuracy

31.7% (2.0b remaining)

Error of 24.8b against oracle of 22.8b and baseline of 25.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03439
13539
23539

end0.0ms

analyze516.0ms

Algorithm
search

sample593.0ms

Algorithm
intervals
Results
355.0ms8000×body80valid
20.0ms472×body80invalid

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